45761285088 has 72 divisors (see below), whose sum is σ = 130158841176. Its totient is φ = 15250809600.

The previous prime is 45761285051. The next prime is 45761285099. The reversal of 45761285088 is 88058216754.

45761285088 is a `hidden beast` number, since 4 + 5 + 7 + 6 + 128 + 508 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×45761285088² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1880358 + ... + 1904538.

It is an arithmetic number, because the mean of its divisors is an integer number (1807761683).

Almost surely, 2^45761285088 is an apocalyptic number.

45761285088 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

45761285088 is an abundant number, since it is smaller than the sum of its proper divisors (84397556088).

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

45761285088 is a wasteful number, since it uses less digits than its factorization.

45761285088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30768 (or 30757 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 54.

The spelling of 45761285088 in words is "forty-five billion, seven hundred sixty-one million, two hundred eighty-five thousand, eighty-eight".