46199377800576 has 2560 divisors, whose sum is σ = 195755478589440. Its totient is φ = 10427056128000.

The previous prime is 46199377800559. The next prime is 46199377800581. The reversal of 46199377800576 is 67500877399164.

It is a happy number.

46199377800576 is a `hidden beast` number, since 4 + 6 + 19 + 9 + 37 + 7 + 8 + 0 + 0 + 576 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 11903986156 + ... + 11903990036.

It is an arithmetic number, because the mean of its divisors is an integer number (76466983824).

Almost surely, 2^{46199377800576} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46199377800576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97877739294720).

46199377800576 is an abundant number, since it is smaller than the sum of its proper divisors (149556100788864).

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

46199377800576 is a wasteful number, since it uses less digits than its factorization.

46199377800576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4006 (or 3985 counting only the distinct ones).

The product of its (nonzero) digits is 480090240, while the sum is 72.

The spelling of 46199377800576 in words is "forty-six trillion, one hundred ninety-nine billion, three hundred seventy-seven million, eight hundred thousand, five hundred seventy-six".