46391661454080 has 576 divisors, whose sum is σ = 156615596928000. Its totient is φ = 11670956015616.

The previous prime is 46391661454063. The next prime is 46391661454129. The reversal of 46391661454080 is 8045416619364.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 46391661454080.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24558845776 + ... + 24558847664.

It is an arithmetic number, because the mean of its divisors is an integer number (271902078000).

Almost surely, 2^{46391661454080} is an apocalyptic number.

46391661454080 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 46391661454080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78307798464000).

46391661454080 is an abundant number, since it is smaller than the sum of its proper divisors (110223935473920).

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

46391661454080 is a wasteful number, since it uses less digits than its factorization.

46391661454080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3164 (or 3150 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 57.

The spelling of 46391661454080 in words is "forty-six trillion, three hundred ninety-one billion, six hundred sixty-one million, four hundred fifty-four thousand, eighty".