146792430150912 has 864 divisors, whose sum is σ = 538248140156160. Its totient is φ = 38639057633280.

The previous prime is 146792430150901. The next prime is 146792430150923. The reversal of 146792430150912 is 219051034297641.

146792430150912 is a `hidden beast` number, since 1 + 4 + 6 + 7 + 92 + 4 + 30 + 1 + 509 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (146792430150901) and next prime (146792430150923).

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×146792430150912² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4260145588 + ... + 4260180044.

It is an arithmetic number, because the mean of its divisors is an integer number (622972384440).

Almost surely, 2^{146792430150912} is an apocalyptic number.

146792430150912 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 146792430150912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269124070078080).

146792430150912 is an abundant number, since it is smaller than the sum of its proper divisors (391455710005248).

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

146792430150912 is a wasteful number, since it uses less digits than its factorization.

146792430150912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35036 (or 35003 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 146792430150912 in words is "one hundred forty-six trillion, seven hundred ninety-two billion, four hundred thirty million, one hundred fifty thousand, nine hundred twelve".