46040187525264 has 45 divisors (see below), whose sum is σ = 128848808238969. Its totient is φ = 15346702033920.

The previous prime is 46040187525247. The next prime is 46040187525287. The reversal of 46040187525264 is 46252578104064.

The square root of 46040187525264 is 6785292.

It is a perfect power (a square), and thus also a powerful number.

46040187525264 is a `hidden beast` number, since 4 + 6 + 0 + 40 + 1 + 8 + 75 + 2 + 526 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 18596000286864 + 27444187238400 = 4312308^2 + 5238720^2 .

It is a super-2 number, since 2×46040187525264² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 46040187525264.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 81140784 + ... + 81706224.

Almost surely, 2^{46040187525264} is an apocalyptic number.

46040187525264 is the 6785292-nd square number.

It is an amenable number.

46040187525264 is an abundant number, since it is smaller than the sum of its proper divisors (82808620713705).

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

46040187525264 is an frugal number, since it uses more digits than its factorization.

46040187525264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130896 (or 565446 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 54.

The spelling of 46040187525264 in words is "forty-six trillion, forty billion, one hundred eighty-seven million, five hundred twenty-five thousand, two hundred sixty-four".