46634157127760 has 20 divisors (see below), whose sum is σ = 108424415322228. Its totient is φ = 18653662851072.

The previous prime is 46634157127757. The next prime is 46634157127777. The reversal of 46634157127760 is 6772175143664.

46634157127760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 31950484930576 + 14683672197184 = 5652476^2 + 3831928^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×46634157127760² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 46634157127760.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 291463481969 + ... + 291463482128.

Almost surely, 2^{46634157127760} is an apocalyptic number.

46634157127760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46634157127760 is an abundant number, since it is smaller than the sum of its proper divisors (61790258194468).

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

46634157127760 is a wasteful number, since it uses less digits than its factorization.

46634157127760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582926964110 (or 582926964104 counting only the distinct ones).

The product of its (nonzero) digits is 35562240, while the sum is 59.

The spelling of 46634157127760 in words is "forty-six trillion, six hundred thirty-four billion, one hundred fifty-seven million, one hundred twenty-seven thousand, seven hundred sixty".