46816496640000 has 2240 divisors, whose sum is σ = 181805390902080. Its totient is φ = 12039487488000.

The previous prime is 46816496639971. The next prime is 46816496640049. The reversal of 46816496640000 is 4669461864.

It is a happy number.

46816496640000 is a `hidden beast` number, since 46 + 81 + 64 + 9 + 66 + 400 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 414305279944 + ... + 414305280056.

Almost surely, 2^{46816496640000} is an apocalyptic number.

46816496640000 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 46816496640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90902695451040).

46816496640000 is an abundant number, since it is smaller than the sum of its proper divisors (134988894262080).

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

46816496640000 is an frugal number, since it uses more digits than its factorization.

46816496640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 46816496640000 in words is "forty-six trillion, eight hundred sixteen billion, four hundred ninety-six million, six hundred forty thousand".