46353564195840 has 1760 divisors, whose sum is σ = 190095024835584. Its totient is φ = 10699059363840.

The previous prime is 46353564195767. The next prime is 46353564195863. The reversal of 46353564195840 is 4859146535364.

46353564195840 is a `hidden beast` number, since 4 + 6 + 3 + 5 + 3 + 5 + 6 + 41 + 9 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1760).

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, 7933175959 + ... + 7933181801.

Almost surely, 2^{46353564195840} is an apocalyptic number.

46353564195840 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 46353564195840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95047512417792).

46353564195840 is an abundant number, since it is smaller than the sum of its proper divisors (143741460639744).

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

46353564195840 is a wasteful number, since it uses less digits than its factorization.

46353564195840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5975 (or 5948 counting only the distinct ones).

The product of its (nonzero) digits is 186624000, while the sum is 63.

The spelling of 46353564195840 in words is "forty-six trillion, three hundred fifty-three billion, five hundred sixty-four million, one hundred ninety-five thousand, eight hundred forty".