46391881293576 has 1024 divisors, whose sum is σ = 169966540800000. Its totient is φ = 11627840480256.

The previous prime is 46391881293557. The next prime is 46391881293613. The reversal of 46391881293576 is 67539218819364.

46391881293576 is a `hidden beast` number, since 4 + 6 + 39 + 1 + 8 + 8 + 12 + 9 + 3 + 576 = 666.

46391881293576 is digitally balanced in base 2, 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 (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3477906315 + ... + 3477919653.

It is an arithmetic number, because the mean of its divisors is an integer number (165982950000).

Almost surely, 2^{46391881293576} is an apocalyptic number.

46391881293576 is a gapful number since it is divisible by the number (46) 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 46391881293576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84983270400000).

46391881293576 is an abundant number, since it is smaller than the sum of its proper divisors (123574659506424).

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

46391881293576 is a wasteful number, since it uses less digits than its factorization.

46391881293576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13568 (or 13544 counting only the distinct ones).

The product of its digits is 470292480, while the sum is 72.

The spelling of 46391881293576 in words is "forty-six trillion, three hundred ninety-one billion, eight hundred eighty-one million, two hundred ninety-three thousand, five hundred seventy-six".