145466185620096 has 768 divisors, whose sum is σ = 481642736440320. Its totient is φ = 43332052377600.

The previous prime is 145466185620059. The next prime is 145466185620221. The reversal of 145466185620096 is 690026581664541.

145466185620096 is a `hidden beast` number, since 1 + 4 + 5 + 4 + 6 + 61 + 8 + 562 + 0 + 0 + 9 + 6 = 666.

It is a super-2 number, since 2×145466185620096² (a number of 29 digits) contains 22 as substring.

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, 8429393100 + ... + 8429410356.

It is an arithmetic number, because the mean of its divisors is an integer number (627138979740).

Almost surely, 2^{145466185620096} is an apocalyptic number.

145466185620096 is a gapful number since it is divisible by the number (16) 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 145466185620096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240821368220160).

145466185620096 is an abundant number, since it is smaller than the sum of its proper divisors (336176550820224).

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

145466185620096 is a wasteful number, since it uses less digits than its factorization.

145466185620096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17715 (or 17691 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 63.

The spelling of 145466185620096 in words is "one hundred forty-five trillion, four hundred sixty-six billion, one hundred eighty-five million, six hundred twenty thousand, ninety-six".