46895131325952 has 2400 divisors, whose sum is σ = 180931214661120. Its totient is φ = 11980126126080.

The previous prime is 46895131325921. The next prime is 46895131325953. The reversal of 46895131325952 is 25952313159864.

46895131325952 is a `hidden beast` number, since 4 + 6 + 8 + 9 + 5 + 1 + 3 + 1 + 32 + 595 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 46895131325952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46895131325953) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 222251807127 + ... + 222251807337.

Almost surely, 2^{46895131325952} is an apocalyptic number.

46895131325952 is a gapful number since it is divisible by the number (42) 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 46895131325952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90465607330560).

46895131325952 is an abundant number, since it is smaller than the sum of its proper divisors (134036083335168).

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

46895131325952 is a wasteful number, since it uses less digits than its factorization.

46895131325952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 462 counting only the distinct ones).

The product of its digits is 69984000, while the sum is 63.

The spelling of 46895131325952 in words is "forty-six trillion, eight hundred ninety-five billion, one hundred thirty-one million, three hundred twenty-five thousand, nine hundred fifty-two".