146793903685632 has 1368 divisors, whose sum is σ = 516918125243520. Its totient is φ = 41505018347520.

The previous prime is 146793903685631. The next prime is 146793903685633. The reversal of 146793903685632 is 236586309397641.

146793903685632 is a `hidden beast` number, since 1 + 4 + 6 + 79 + 390 + 36 + 85 + 63 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (146793903685631) and next prime (146793903685633).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146793903685631) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 408896667469 + ... + 408896667827.

It is an arithmetic number, because the mean of its divisors is an integer number (377864126640).

It is a 2-persistent number, because it is pandigital, and so is 2⋅146793903685632 = 293587807371264, but 3⋅146793903685632 = 440381711056896 is not.

Almost surely, 2^{146793903685632} is an apocalyptic number.

146793903685632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146793903685632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258459062621760).

146793903685632 is an abundant number, since it is smaller than the sum of its proper divisors (370124221557888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

146793903685632 is an frugal number, since it uses more digits than its factorization.

146793903685632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 1058158080, while the sum is 72.

The spelling of 146793903685632 in words is "one hundred forty-six trillion, seven hundred ninety-three billion, nine hundred three million, six hundred eighty-five thousand, six hundred thirty-two".