45046340626144 has 192 divisors, whose sum is σ = 106786685456640. Its totient is φ = 18429875712000.

The previous prime is 45046340626043. The next prime is 45046340626163. The reversal of 45046340626144 is 44162604364054.

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 362224327 + ... + 362348665.

It is an arithmetic number, because the mean of its divisors is an integer number (556180653420).

Almost surely, 2^{45046340626144} is an apocalyptic number.

45046340626144 is a gapful number since it is divisible by the number (44) 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 45046340626144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53393342728320).

45046340626144 is an abundant number, since it is smaller than the sum of its proper divisors (61740344830496).

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

45046340626144 is a wasteful number, since it uses less digits than its factorization.

45046340626144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126345 (or 126337 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 49.

The spelling of 45046340626144 in words is "forty-five trillion, forty-six billion, three hundred forty million, six hundred twenty-six thousand, one hundred forty-four".