45213339648 has 104 divisors (see below), whose sum is σ = 125796460608. Its totient is φ = 14415757312.

The previous prime is 45213339643. The next prime is 45213339653. The reversal of 45213339648 is 84693331254.

It is an interprime number because it is at equal distance from previous prime (45213339643) and next prime (45213339653).

It is a hoax number, since the sum of its digits (48) 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 (48).

It is a junction number, because it is equal to n+sod(n) for n = 45213339597 and 45213339606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45213339643) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 202636 + ... + 362612.

It is an arithmetic number, because the mean of its divisors is an integer number (1209581352).

Almost surely, 2^45213339648 is an apocalyptic number.

45213339648 is a gapful number since it is divisible by the number (48) 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 45213339648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62898230304).

45213339648 is an abundant number, since it is smaller than the sum of its proper divisors (80583120960).

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

45213339648 is a wasteful number, since it uses less digits than its factorization.

45213339648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160027 (or 160005 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 48.

The spelling of 45213339648 in words is "forty-five billion, two hundred thirteen million, three hundred thirty-nine thousand, six hundred forty-eight".