146483650938240 has 1280 divisors, whose sum is σ = 657593276567040. Its totient is φ = 30438060871680.

The previous prime is 146483650938211. The next prime is 146483650938269. The reversal of 146483650938240 is 42839056384641.

146483650938240 is a `hidden beast` number, since 1 + 4 + 6 + 4 + 8 + 3 + 6 + 509 + 3 + 82 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (146483650938211) and next prime (146483650938269).

It is a super-2 number, since 2×146483650938240² (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 482841639 + ... + 483144921.

It is an arithmetic number, because the mean of its divisors is an integer number (513744747318).

Almost surely, 2^{146483650938240} is an apocalyptic number.

146483650938240 is a gapful number since it is divisible by the number (10) 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 146483650938240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328796638283520).

146483650938240 is an abundant number, since it is smaller than the sum of its proper divisors (511109625628800).

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

146483650938240 is an equidigital number, since it uses as much as digits as its factorization.

146483650938240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303354 (or 303311 counting only the distinct ones).

The product of its (nonzero) digits is 119439360, while the sum is 63.

The spelling of 146483650938240 in words is "one hundred forty-six trillion, four hundred eighty-three billion, six hundred fifty million, nine hundred thirty-eight thousand, two hundred forty".