46856409600000 has 4992 divisors, whose sum is σ = 222911988719616. Its totient is φ = 8434483200000.

The previous prime is 46856409599971. The next prime is 46856409600031. The reversal of 46856409600000 is 690465864.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (4992).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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 383 ways as a sum of consecutive naturals, for example, 884083199974 + ... + 884083200026.

Almost surely, 2^{46856409600000} is an apocalyptic number.

46856409600000 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 46856409600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111455994359808).

46856409600000 is an abundant number, since it is smaller than the sum of its proper divisors (176055579119616).

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

46856409600000 is a wasteful number, since it uses less digits than its factorization.

46856409600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The spelling of 46856409600000 in words is "forty-six trillion, eight hundred fifty-six billion, four hundred nine million, six hundred thousand".