45419005158912 has 800 divisors, whose sum is σ = 173137377498624. Its totient is φ = 11509375795200.

The previous prime is 45419005158907. The next prime is 45419005158913. The reversal of 45419005158912 is 21985150091454.

45419005158912 is a `hidden beast` number, since 4 + 5 + 4 + 1 + 9 + 0 + 0 + 51 + 589 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45419005158913) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 130753653 + ... + 131100555.

Almost surely, 2^{45419005158912} is an apocalyptic number.

45419005158912 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 45419005158912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86568688749312).

45419005158912 is an abundant number, since it is smaller than the sum of its proper divisors (127718372339712).

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

45419005158912 is a wasteful number, since it uses less digits than its factorization.

45419005158912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346992 (or 346967 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 54.

The spelling of 45419005158912 in words is "forty-five trillion, four hundred nineteen billion, five million, one hundred fifty-eight thousand, nine hundred twelve".