46465618763772 has 288 divisors, whose sum is σ = 132964387588032. Its totient is φ = 13583635365888.

The previous prime is 46465618763713. The next prime is 46465618763783. The reversal of 46465618763772 is 27736781656464.

46465618763772 is a `hidden beast` number, since 4 + 6 + 465 + 61 + 8 + 7 + 6 + 37 + 72 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 46465618763772.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4495072588 + ... + 4495082924.

Almost surely, 2^{46465618763772} 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 46465618763772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66482193794016).

46465618763772 is an abundant number, since it is smaller than the sum of its proper divisors (86498768824260).

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

46465618763772 is a wasteful number, since it uses less digits than its factorization.

46465618763772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16477 (or 16472 counting only the distinct ones).

The product of its digits is 1706987520, while the sum is 72.

The spelling of 46465618763772 in words is "forty-six trillion, four hundred sixty-five billion, six hundred eighteen million, seven hundred sixty-three thousand, seven hundred seventy-two".