45978222780 has 480 divisors, whose sum is σ = 176804812800. Its totient is φ = 9762674688.

The previous prime is 45978222779. The next prime is 45978222791. The reversal of 45978222780 is 8722287954.

45978222780 is a `hidden beast` number, since 4 + 597 + 8 + 22 + 27 + 8 + 0 = 666.

It is a super-2 number, since 2×45978222780² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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 (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 15228111 + ... + 15231129.

It is an arithmetic number, because the mean of its divisors is an integer number (368343360).

Almost surely, 2^45978222780 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 45978222780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88402406400).

45978222780 is an abundant number, since it is smaller than the sum of its proper divisors (130826590020).

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

45978222780 is a wasteful number, since it uses less digits than its factorization.

45978222780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3143 (or 3132 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 45978222780 in words is "forty-five billion, nine hundred seventy-eight million, two hundred twenty-two thousand, seven hundred eighty".