45826357929984 has 576 divisors, whose sum is σ = 136741426894800. Its totient is φ = 14778630144000.

The previous prime is 45826357929967. The next prime is 45826357930021. The reversal of 45826357929984 is 48992975362854.

45826357929984 is a `hidden beast` number, since 4 + 582 + 6 + 3 + 5 + 7 + 9 + 29 + 9 + 8 + 4 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 6353787331584 + 39472570598400 = 2520672^2 + 6282720^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×45826357929984² (a number of 28 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 49328694832 + ... + 49328695760.

Almost surely, 2^{45826357929984} 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 45826357929984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68370713447400).

45826357929984 is an abundant number, since it is smaller than the sum of its proper divisors (90915068964816).

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

45826357929984 is a wasteful number, since it uses less digits than its factorization.

45826357929984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1692 (or 1669 counting only the distinct ones).

The product of its digits is 9405849600, while the sum is 81.

The spelling of 45826357929984 in words is "forty-five trillion, eight hundred twenty-six billion, three hundred fifty-seven million, nine hundred twenty-nine thousand, nine hundred eighty-four".