45978982840 has 128 divisors (see below), whose sum is σ = 120977141760. Its totient is φ = 15402230784.

The previous prime is 45978982817. The next prime is 45978982849. The reversal of 45978982840 is 4828987954.

It is a happy number.

It is a super-2 number, since 2×45978982840² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45978982849) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2176569 + ... + 2197591.

It is an arithmetic number, because the mean of its divisors is an integer number (945133920).

Almost surely, 2^45978982840 is an apocalyptic number.

45978982840 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 45978982840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60488570880).

45978982840 is an abundant number, since it is smaller than the sum of its proper divisors (74998158920).

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

45978982840 is a wasteful number, since it uses less digits than its factorization.

45978982840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21221 (or 21217 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 64.

The spelling of 45978982840 in words is "forty-five billion, nine hundred seventy-eight million, nine hundred eighty-two thousand, eight hundred forty".