45978786126 has 288 divisors, whose sum is σ = 133169793120. Its totient is φ = 11324178432.

The previous prime is 45978786101. The next prime is 45978786137. The reversal of 45978786126 is 62168787954.

45978786126 is a `hidden beast` number, since 4 + 5 + 9 + 7 + 8 + 7 + 8 + 612 + 6 = 666.

It is a super-2 number, since 2×45978786126² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Curzon number.

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 27093310 + ... + 27095006.

It is an arithmetic number, because the mean of its divisors is an integer number (462395115).

Almost surely, 2^45978786126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45978786126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66584896560).

45978786126 is an abundant number, since it is smaller than the sum of its proper divisors (87191006994).

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

45978786126 is a wasteful number, since it uses less digits than its factorization.

45978786126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1888 (or 1878 counting only the distinct ones).

The product of its digits is 40642560, while the sum is 63.

The spelling of 45978786126 in words is "forty-five billion, nine hundred seventy-eight million, seven hundred eighty-six thousand, one hundred twenty-six".