146934756864 has 800 divisors, whose sum is σ = 558984222720. Its totient is φ = 37408407552.

The previous prime is 146934756851. The next prime is 146934756907. The reversal of 146934756864 is 468657439641.

146934756864 is a `hidden beast` number, since 1 + 4 + 6 + 9 + 3 + 4 + 7 + 568 + 64 = 666.

It is a super-2 number, since 2×146934756864² (a number of 23 digits) contains 22 as substring.

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 79 ways as a sum of consecutive naturals, for example, 93767409 + ... + 93768975.

Almost surely, 2^146934756864 is an apocalyptic number.

146934756864 is a gapful number since it is divisible by the number (14) 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 146934756864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279492111360).

146934756864 is an abundant number, since it is smaller than the sum of its proper divisors (412049465856).

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

146934756864 is a wasteful number, since it uses less digits than its factorization.

146934756864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1640 (or 1615 counting only the distinct ones).

The product of its digits is 104509440, while the sum is 63.

The spelling of 146934756864 in words is "one hundred forty-six billion, nine hundred thirty-four million, seven hundred fifty-six thousand, eight hundred sixty-four".