46516735755 has 64 divisors (see below), whose sum is σ = 94672327680. Its totient is φ = 21228314112.

The previous prime is 46516735751. The next prime is 46516735781. The reversal of 46516735755 is 55753761564.

46516735755 is a `hidden beast` number, since 4 + 6 + 5 + 1 + 67 + 3 + 575 + 5 = 666.

46516735755 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 46516735755 - 2² = 46516735751 is a prime.

It is not an unprimeable number, because it can be changed into a prime (46516735751) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 512787 + ... + 596643.

It is an arithmetic number, because the mean of its divisors is an integer number (1479255120).

Almost surely, 2^46516735755 is an apocalyptic number.

46516735755 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

46516735755 is an abundant number, since it is smaller than the sum of its proper divisors (48155591925).

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

46516735755 is a wasteful number, since it uses less digits than its factorization.

46516735755 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84465 (or 84459 counting only the distinct ones).

The product of its digits is 13230000, while the sum is 54.

The spelling of 46516735755 in words is "forty-six billion, five hundred sixteen million, seven hundred thirty-five thousand, seven hundred fifty-five".