45767688693600 has 144 divisors (see below), whose sum is σ = 148976116918272. Its totient is φ = 12204529359360.

The previous prime is 45767688693589. The next prime is 45767688693611. The reversal of 45767688693600 is 639688676754.

It is an interprime number because it is at equal distance from previous prime (45767688693589) and next prime (45767688693611).

It is a Harshad number since it is a multiple of its sum of digits (75).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 233717329 + ... + 233913071.

It is an arithmetic number, because the mean of its divisors is an integer number (1034556367488).

Almost surely, 2^{45767688693600} is an apocalyptic number.

45767688693600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45767688693600 is an abundant number, since it is smaller than the sum of its proper divisors (103208428224672).

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

45767688693600 is a wasteful number, since it uses less digits than its factorization.

45767688693600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293189 (or 293176 counting only the distinct ones).

The product of its (nonzero) digits is 2194698240, while the sum is 75.

The spelling of 45767688693600 in words is "forty-five trillion, seven hundred sixty-seven billion, six hundred eighty-eight million, six hundred ninety-three thousand, six hundred".