46008225561375 has 256 divisors, whose sum is σ = 106080291532800. Its totient is φ = 19115550720000.

The previous prime is 46008225561289. The next prime is 46008225561379. The reversal of 46008225561375 is 57316552280064.

46008225561375 is a `hidden beast` number, since 4 + 6 + 0 + 0 + 8 + 2 + 2 + 5 + 561 + 3 + 75 = 666.

It is not a de Polignac number, because 46008225561375 - 2¹⁴ = 46008225544991 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46008225561379) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1164480121 + ... + 1164519629.

It is an arithmetic number, because the mean of its divisors is an integer number (414376138800).

Almost surely, 2^{46008225561375} is an apocalyptic number.

46008225561375 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

46008225561375 is an abundant number, since it is smaller than the sum of its proper divisors (60072065971425).

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

46008225561375 is a wasteful number, since it uses less digits than its factorization.

46008225561375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44032 (or 44016 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 54.

The spelling of 46008225561375 in words is "forty-six trillion, eight billion, two hundred twenty-five million, five hundred sixty-one thousand, three hundred seventy-five".