45916620780 has 192 divisors, whose sum is σ = 133298339328. Its totient is φ = 11802101760.

The previous prime is 45916620751. The next prime is 45916620793. The reversal of 45916620780 is 8702661954.

It is a super-3 number, since 3×45916620780³ (a number of 33 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 123100674 + ... + 123101046.

It is an arithmetic number, because the mean of its divisors is an integer number (694262184).

Almost surely, 2^45916620780 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45916620780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66649169664).

45916620780 is an abundant number, since it is smaller than the sum of its proper divisors (87381718548).

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

45916620780 is a wasteful number, since it uses less digits than its factorization.

45916620780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 45916620780 in words is "forty-five billion, nine hundred sixteen million, six hundred twenty thousand, seven hundred eighty".