46125353520 has 240 divisors, whose sum is σ = 159768440832. Its totient is φ = 11918430720.

The previous prime is 46125353509. The next prime is 46125353531. The reversal of 46125353520 is 2535352164.

46125353520 is a `hidden beast` number, since 4 + 6 + 125 + 3 + 5 + 3 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (46125353509) and next prime (46125353531).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3926055 + ... + 3937785.

Almost surely, 2^46125353520 is an apocalyptic number.

46125353520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46125353520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79884220416).

46125353520 is an abundant number, since it is smaller than the sum of its proper divisors (113643087312).

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

46125353520 is a wasteful number, since it uses less digits than its factorization.

46125353520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11920 (or 11911 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 46125353520 in words is "forty-six billion, one hundred twenty-five million, three hundred fifty-three thousand, five hundred twenty".