46565144640 has 336 divisors, whose sum is σ = 188952591360. Its totient is φ = 10299985920.

The previous prime is 46565144627. The next prime is 46565144657. The reversal of 46565144640 is 4644156564.

46565144640 is a `hidden beast` number, since 4 + 6 + 56 + 514 + 46 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 587706 + ... + 662214.

Almost surely, 2^46565144640 is an apocalyptic number.

46565144640 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 46565144640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94476295680).

46565144640 is an abundant number, since it is smaller than the sum of its proper divisors (142387446720).

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

46565144640 is a wasteful number, since it uses less digits than its factorization.

46565144640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74570 (or 74557 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 46565144640 in words is "forty-six billion, five hundred sixty-five million, one hundred forty-four thousand, six hundred forty".