46129090585600 has 891 divisors, whose sum is σ = 134103047781619. Its totient is φ = 15717947801600.

The previous prime is 46129090585577. The next prime is 46129090585601. The reversal of 46129090585600 is 658509092164.

The square root of 46129090585600 is 6791840.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1079005717504 + 45050084868096 = 1038752^2 + 6711936^2 .

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (46129090585601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 203211852687 + ... + 203211852913.

Almost surely, 2^{46129090585600} is an apocalyptic number.

46129090585600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

46129090585600 is the 6791840-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46129090585600

46129090585600 is an abundant number, since it is smaller than the sum of its proper divisors (87973957196019).

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

46129090585600 is a wasteful number, since it uses less digits than its factorization.

46129090585600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 55.

The spelling of 46129090585600 in words is "forty-six trillion, one hundred twenty-nine billion, ninety million, five hundred eighty-five thousand, six hundred".