45971219112 has 384 divisors, whose sum is σ = 154598400000. Its totient is φ = 11111592960.

The previous prime is 45971219051. The next prime is 45971219153. The reversal of 45971219112 is 21191217954.

It is a super-2 number, since 2×45971219112² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16721514 + ... + 16724262.

It is an arithmetic number, because the mean of its divisors is an integer number (402600000).

Almost surely, 2^45971219112 is an apocalyptic number.

45971219112 is a gapful number since it is divisible by the number (42) 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 45971219112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77299200000).

45971219112 is an abundant number, since it is smaller than the sum of its proper divisors (108627180888).

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

45971219112 is a wasteful number, since it uses less digits than its factorization.

45971219112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2841 (or 2824 counting only the distinct ones).

The product of its digits is 45360, while the sum is 42.

The spelling of 45971219112 in words is "forty-five billion, nine hundred seventy-one million, two hundred nineteen thousand, one hundred twelve".