46888450560000 has 1300 divisors, whose sum is σ = 200041277200512. Its totient is φ = 10717028352000.

The previous prime is 46888450559983. The next prime is 46888450560103. The reversal of 46888450560000 is 6505488864.

46888450560000 is a `hidden beast` number, since 4 + 68 + 88 + 450 + 56 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 1451503849 + ... + 1451536151.

Almost surely, 2^{46888450560000} is an apocalyptic number.

46888450560000 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 46888450560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100020638600256).

46888450560000 is an abundant number, since it is smaller than the sum of its proper divisors (153152826640512).

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

46888450560000 is an frugal number, since it uses more digits than its factorization.

46888450560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32366 (or 32320 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 46888450560000 in words is "forty-six trillion, eight hundred eighty-eight billion, four hundred fifty million, five hundred sixty thousand".