46864030095360 has 576 divisors, whose sum is σ = 164242538460000. Its totient is φ = 12357256347648.

The previous prime is 46864030095227. The next prime is 46864030095409. The reversal of 46864030095360 is 6359003046864.

46864030095360 is a `hidden beast` number, since 4 + 68 + 6 + 40 + 3 + 0 + 0 + 9 + 536 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a junction number, because it is equal to n+sod(n) for n = 46864030095297 and 46864030095306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17047663266 + ... + 17047666014.

Almost surely, 2^{46864030095360} is an apocalyptic number.

46864030095360 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 46864030095360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82121269230000).

46864030095360 is an abundant number, since it is smaller than the sum of its proper divisors (117378508364640).

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

46864030095360 is a wasteful number, since it uses less digits than its factorization.

46864030095360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4786 (or 4763 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 46864030095360 in words is "forty-six trillion, eight hundred sixty-four billion, thirty million, ninety-five thousand, three hundred sixty".