45882494840 has 256 divisors, whose sum is σ = 135827435520. Its totient is φ = 13549916160.

The previous prime is 45882494837. The next prime is 45882494891. The reversal of 45882494840 is 4849428854.

45882494840 = 23909² + 23910² + ... + 23988².

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3425837 + ... + 3439203.

It is an arithmetic number, because the mean of its divisors is an integer number (530575920).

Almost surely, 2^45882494840 is an apocalyptic number.

45882494840 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 45882494840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67913717760).

45882494840 is an abundant number, since it is smaller than the sum of its proper divisors (89944940680).

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

45882494840 is a wasteful number, since it uses less digits than its factorization.

45882494840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13462 (or 13458 counting only the distinct ones).

The product of its (nonzero) digits is 11796480, while the sum is 56.

The spelling of 45882494840 in words is "forty-five billion, eight hundred eighty-two million, four hundred ninety-four thousand, eight hundred forty".