145363569167376 has 320 divisors, whose sum is σ = 518143611289600. Its totient is φ = 38077286630400.

The previous prime is 145363569167363. The next prime is 145363569167381. The reversal of 145363569167376 is 673761965363541.

145363569167376 is a `hidden beast` number, since 1 + 4 + 5 + 3 + 6 + 35 + 69 + 167 + 376 = 666.

It is a super-2 number, since 2×145363569167376² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39025285 + ... + 42587556.

It is an arithmetic number, because the mean of its divisors is an integer number (1619198785280).

Almost surely, 2^{145363569167376} is an apocalyptic number.

145363569167376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

145363569167376 is an abundant number, since it is smaller than the sum of its proper divisors (372780042122224).

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

145363569167376 is a wasteful number, since it uses less digits than its factorization.

145363569167376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81612915 (or 81612903 counting only the distinct ones).

The product of its digits is 1543147200, while the sum is 72.

The spelling of 145363569167376 in words is "one hundred forty-five trillion, three hundred sixty-three billion, five hundred sixty-nine million, one hundred sixty-seven thousand, three hundred seventy-six".