146691304906464 has 192 divisors, whose sum is σ = 431096392641600. Its totient is φ = 48526249181184.

The previous prime is 146691304906373. The next prime is 146691304906511. The reversal of 146691304906464 is 464609403196641.

146691304906464 is a `hidden beast` number, since 1 + 4 + 6 + 6 + 9 + 130 + 490 + 6 + 4 + 6 + 4 = 666.

It is a super-2 number, since 2×146691304906464² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 416124072 + ... + 416476440.

It is an arithmetic number, because the mean of its divisors is an integer number (2245293711675).

Almost surely, 2^{146691304906464} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146691304906464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215548196320800).

146691304906464 is an abundant number, since it is smaller than the sum of its proper divisors (284405087735136).

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

146691304906464 is a wasteful number, since it uses less digits than its factorization.

146691304906464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356042 (or 356028 counting only the distinct ones).

The product of its (nonzero) digits is 80621568, while the sum is 63.

The spelling of 146691304906464 in words is "one hundred forty-six trillion, six hundred ninety-one billion, three hundred four million, nine hundred six thousand, four hundred sixty-four".