45216194880 has 112 divisors (see below), whose sum is σ = 143886838464. Its totient is φ = 12030320640.

The previous prime is 45216194879. The next prime is 45216194887. The reversal of 45216194880 is 8849161254.

It is a Cunningham number, because it is equal to 212641²-1.

It is a super-2 number, since 2×45216194880² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45216194887) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 372120 + ... + 478440.

Almost surely, 2^45216194880 is an apocalyptic number.

45216194880 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 45216194880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71943419232).

45216194880 is an abundant number, since it is smaller than the sum of its proper divisors (98670643584).

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

45216194880 is a wasteful number, since it uses less digits than its factorization.

45216194880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106784 (or 106774 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 48.

The spelling of 45216194880 in words is "forty-five billion, two hundred sixteen million, one hundred ninety-four thousand, eight hundred eighty".