45736289280 has 704 divisors, whose sum is σ = 186765004800. Its totient is φ = 10497392640.

The previous prime is 45736289251. The next prime is 45736289293. The reversal of 45736289280 is 8298263754.

45736289280 is a `hidden beast` number, since 4 + 5 + 7 + 3 + 628 + 9 + 2 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28891369 + ... + 28892951.

It is an arithmetic number, because the mean of its divisors is an integer number (265291200).

Almost surely, 2^45736289280 is an apocalyptic number.

45736289280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45736289280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93382502400).

45736289280 is an abundant number, since it is smaller than the sum of its proper divisors (141028715520).

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

45736289280 is a wasteful number, since it uses less digits than its factorization.

45736289280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1647 (or 1623 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 45736289280 in words is "forty-five billion, seven hundred thirty-six million, two hundred eighty-nine thousand, two hundred eighty".