45772076700000 has 2304 divisors, whose sum is σ = 206680951572480. Its totient is φ = 9614868480000.

The previous prime is 45772076699959. The next prime is 45772076700041. The reversal of 45772076700000 is 767027754.

45772076700000 is a `hidden beast` number, since 4 + 577 + 2 + 0 + 7 + 6 + 70 + 0 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (45772076699959) and next prime (45772076700041).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 13815898344 + ... + 13815901656.

It is an arithmetic number, because the mean of its divisors is an integer number (89705274120).

Almost surely, 2^{45772076700000} is an apocalyptic number.

45772076700000 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 45772076700000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103340475786240).

45772076700000 is an abundant number, since it is smaller than the sum of its proper divisors (160908874872480).

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

45772076700000 is a wasteful number, since it uses less digits than its factorization.

45772076700000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3424 (or 3390 counting only the distinct ones).

The product of its (nonzero) digits is 576240, while the sum is 45.

The spelling of 45772076700000 in words is "forty-five trillion, seven hundred seventy-two billion, seventy-six million, seven hundred thousand".