45689754240 has 768 divisors, whose sum is σ = 182135116800. Its totient is φ = 10883911680.

The previous prime is 45689754211. The next prime is 45689754263. The reversal of 45689754240 is 4245798654.

45689754240 is a `hidden beast` number, since 4 + 5 + 6 + 8 + 97 + 542 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1473863025 + ... + 1473863055.

It is an arithmetic number, because the mean of its divisors is an integer number (237155100).

Almost surely, 2^45689754240 is an apocalyptic number.

45689754240 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 45689754240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91067558400).

45689754240 is an abundant number, since it is smaller than the sum of its proper divisors (136445362560).

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

45689754240 is an frugal number, since it uses more digits than its factorization.

45689754240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 45689754240 in words is "forty-five billion, six hundred eighty-nine million, seven hundred fifty-four thousand, two hundred forty".