46351950138000 has 1120 divisors, whose sum is σ = 186807975524352. Its totient is φ = 11041515648000.

The previous prime is 46351950137963. The next prime is 46351950138059. The reversal of 46351950138000 is 83105915364.

46351950138000 is a `hidden beast` number, since 4 + 6 + 3 + 519 + 50 + 1 + 3 + 80 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 587534557 + ... + 587613443.

Almost surely, 2^{46351950138000} is an apocalyptic number.

46351950138000 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 46351950138000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93403987762176).

46351950138000 is an abundant number, since it is smaller than the sum of its proper divisors (140456025386352).

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

46351950138000 is a wasteful number, since it uses less digits than its factorization.

46351950138000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78972 (or 78941 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 46351950138000 in words is "forty-six trillion, three hundred fifty-one billion, nine hundred fifty million, one hundred thirty-eight thousand".