45441821085696 has 1872 divisors, whose sum is σ = 167504212721664. Its totient is φ = 11602721636352.

The previous prime is 45441821085653. The next prime is 45441821085701. The reversal of 45441821085696 is 69658012814454.

45441821085696 is a `hidden beast` number, since 4 + 5 + 4 + 41 + 8 + 21 + 0 + 8 + 569 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 272106713005 + ... + 272106713171.

It is an arithmetic number, because the mean of its divisors is an integer number (89478746112).

Almost surely, 2^{45441821085696} is an apocalyptic number.

45441821085696 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 45441821085696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83752106360832).

45441821085696 is an abundant number, since it is smaller than the sum of its proper divisors (122062391635968).

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

45441821085696 is a wasteful number, since it uses less digits than its factorization.

45441821085696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 63.

The spelling of 45441821085696 in words is "forty-five trillion, four hundred forty-one billion, eight hundred twenty-one million, eighty-five thousand, six hundred ninety-six".