54634768032 has 96 divisors (see below), whose sum is σ = 159430602240. Its totient is φ = 16268405760.

The previous prime is 54634767991. The next prime is 54634768037. The reversal of 54634768032 is 23086743645.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×54634768032³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (54634768037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 667407 + ... + 744782.

It is an arithmetic number, because the mean of its divisors is an integer number (1660735440).

Almost surely, 2^54634768032 is an apocalyptic number.

54634768032 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

54634768032 is an abundant number, since it is smaller than the sum of its proper divisors (104795834208).

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

54634768032 is a wasteful number, since it uses less digits than its factorization.

54634768032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1412246 (or 1412238 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 48.

The spelling of 54634768032 in words is "fifty-four billion, six hundred thirty-four million, seven hundred sixty-eight thousand, thirty-two".