46147828825152 has 840 divisors, whose sum is σ = 147392007618240. Its totient is φ = 14249339596800.

The previous prime is 46147828825097. The next prime is 46147828825171. The reversal of 46147828825152 is 25152882874164.

46147828825152 is a `hidden beast` number, since 4 + 6 + 1 + 478 + 2 + 8 + 8 + 2 + 5 + 152 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 46147828825152.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 43908495027 + ... + 43908496077.

It is an arithmetic number, because the mean of its divisors is an integer number (175466675736).

Almost surely, 2^{46147828825152} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46147828825152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73696003809120).

46147828825152 is an abundant number, since it is smaller than the sum of its proper divisors (101244178793088).

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

46147828825152 is a wasteful number, since it uses less digits than its factorization.

46147828825152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1441 (or 1385 counting only the distinct ones).

The product of its digits is 68812800, while the sum is 63.

The spelling of 46147828825152 in words is "forty-six trillion, one hundred forty-seven billion, eight hundred twenty-eight million, eight hundred twenty-five thousand, one hundred fifty-two".