45105621631356 has 384 divisors, whose sum is σ = 136705119731712. Its totient is φ = 11350715904000.

The previous prime is 45105621631351. The next prime is 45105621631393. The reversal of 45105621631356 is 65313612650154.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45105621631351) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1013792271 + ... + 1013836761.

It is an arithmetic number, because the mean of its divisors is an integer number (356002915968).

Almost surely, 2^{45105621631356} is an apocalyptic number.

45105621631356 is a gapful number since it is divisible by the number (46) 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 45105621631356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68352559865856).

45105621631356 is an abundant number, since it is smaller than the sum of its proper divisors (91599498100356).

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

45105621631356 is a wasteful number, since it uses less digits than its factorization.

45105621631356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46073 (or 46071 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 48.

The spelling of 45105621631356 in words is "forty-five trillion, one hundred five billion, six hundred twenty-one million, six hundred thirty-one thousand, three hundred fifty-six".