21537846460416 has 1008 divisors, whose sum is σ = 70738077634560. Its totient is φ = 5771026759680.

The previous prime is 21537846460391. The next prime is 21537846460447. The reversal of 21537846460416 is 61406464873512.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 169589342145 + ... + 169589342271.

It is an arithmetic number, because the mean of its divisors is an integer number (70176664320).

Almost surely, 2^{21537846460416} is an apocalyptic number.

21537846460416 is a gapful number since it is divisible by the number (26) 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 21537846460416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35369038817280).

21537846460416 is an abundant number, since it is smaller than the sum of its proper divisors (49200231174144).

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

21537846460416 is an equidigital number, since it uses as much as digits as its factorization.

21537846460416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 57.

The spelling of 21537846460416 in words is "twenty-one trillion, five hundred thirty-seven billion, eight hundred forty-six million, four hundred sixty thousand, four hundred sixteen".