46738790288568 has 288 divisors, whose sum is σ = 154983974745600. Its totient is φ = 13154625747648.

The previous prime is 46738790288513. The next prime is 46738790288579. The reversal of 46738790288568 is 86588209783764.

46738790288568 is a `hidden beast` number, since 46 + 7 + 3 + 8 + 7 + 9 + 0 + 2 + 8 + 8 + 568 = 666.

It is a super-2 number, since 2×46738790288568² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2720473 + ... + 10043831.

It is an arithmetic number, because the mean of its divisors is an integer number (538138801200).

Almost surely, 2^{46738790288568} 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 46738790288568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77491987372800).

46738790288568 is an abundant number, since it is smaller than the sum of its proper divisors (108245184457032).

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

46738790288568 is a wasteful number, since it uses less digits than its factorization.

46738790288568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7323461 (or 7323438 counting only the distinct ones).

The product of its (nonzero) digits is 7803371520, while the sum is 81.

The spelling of 46738790288568 in words is "forty-six trillion, seven hundred thirty-eight billion, seven hundred ninety million, two hundred eighty-eight thousand, five hundred sixty-eight".