46025555552064 has 112 divisors (see below), whose sum is σ = 147607211048640. Its totient is φ = 13947138040320.

The previous prime is 46025555552051. The next prime is 46025555552089.

It is a happy number.

46025555552064 is a `hidden beast` number, since 4 + 6 + 0 + 2 + 5 + 5 + 5 + 55 + 520 + 64 = 666.

46025555552064 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×46025555552064³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 46025555552064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1210670059 + ... + 1210708074.

It is an arithmetic number, because the mean of its divisors is an integer number (1317921527220).

Almost surely, 2^{46025555552064} is an apocalyptic number.

46025555552064 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46025555552064 is an abundant number, since it is smaller than the sum of its proper divisors (101581655496576).

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

46025555552064 is a wasteful number, since it uses less digits than its factorization.

46025555552064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2421378165 (or 2421378149 counting only the distinct ones).

The product of its (nonzero) digits is 36000000, while the sum is 54.

The spelling of 46025555552064 in words is "forty-six trillion, twenty-five billion, five hundred fifty-five million, five hundred fifty-two thousand, sixty-four".