46528155507456 has 864 divisors, whose sum is σ = 168455208370176. Its totient is φ = 12044353536000.

The previous prime is 46528155507433. The next prime is 46528155507461. The reversal of 46528155507456 is 65470555182564.

46528155507456 is a `hidden beast` number, since 4 + 6 + 5 + 2 + 8 + 1 + 5 + 550 + 74 + 5 + 6 = 666.

46528155507456 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 46528155507393 and 46528155507402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1623381766 + ... + 1623410426.

It is an arithmetic number, because the mean of its divisors is an integer number (194971305984).

Almost surely, 2^{46528155507456} 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 46528155507456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84227604185088).

46528155507456 is an abundant number, since it is smaller than the sum of its proper divisors (121927052862720).

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

46528155507456 is a wasteful number, since it uses less digits than its factorization.

46528155507456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28929 (or 28912 counting only the distinct ones).

The product of its (nonzero) digits is 201600000, while the sum is 63.

The spelling of 46528155507456 in words is "forty-six trillion, five hundred twenty-eight billion, one hundred fifty-five million, five hundred seven thousand, four hundred fifty-six".