46107468000 has 960 divisors, whose sum is σ = 195730831296. Its totient is φ = 10506240000.

The previous prime is 46107467999. The next prime is 46107468047. The reversal of 46107468000 is 86470164.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 60587620 + ... + 60588380.

Almost surely, 2^46107468000 is an apocalyptic number.

46107468000 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 46107468000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97865415648).

46107468000 is an abundant number, since it is smaller than the sum of its proper divisors (149623363296).

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

46107468000 is a wasteful number, since it uses less digits than its factorization.

46107468000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 46107468000 in words is "forty-six billion, one hundred seven million, four hundred sixty-eight thousand".