46531661415000 has 320 divisors, whose sum is σ = 145925608857600. Its totient is φ = 12360636288000.

The previous prime is 46531661414969. The next prime is 46531661415011. The reversal of 46531661415000 is 51416613564.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11188182921 + ... + 11188187079.

It is an arithmetic number, because the mean of its divisors is an integer number (456017527680).

Almost surely, 2^{46531661415000} is an apocalyptic number.

46531661415000 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 46531661415000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72962804428800).

46531661415000 is an abundant number, since it is smaller than the sum of its proper divisors (99393947442600).

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

46531661415000 is a wasteful number, since it uses less digits than its factorization.

46531661415000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6884 (or 6865 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 46531661415000 in words is "forty-six trillion, five hundred thirty-one billion, six hundred sixty-one million, four hundred fifteen thousand".