1626148450944 has 384 divisors, whose sum is σ = 5241890160000. Its totient is φ = 480862863360.

The previous prime is 1626148450931. The next prime is 1626148450951. The reversal of 1626148450944 is 4490548416261.

1626148450944 is a `hidden beast` number, since 1 + 6 + 2 + 6 + 14 + 84 + 509 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×1626148450944² (a number of 25 digits) contains 22 as substring.

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, 74036124 + ... + 74058084.

It is an arithmetic number, because the mean of its divisors is an integer number (13650755625).

Almost surely, 2^{1626148450944} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1626148450944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2620945080000).

1626148450944 is an abundant number, since it is smaller than the sum of its proper divisors (3615741709056).

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

1626148450944 is a wasteful number, since it uses less digits than its factorization.

1626148450944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22216 (or 22201 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 1626148450944 in words is "one trillion, six hundred twenty-six billion, one hundred forty-eight million, four hundred fifty thousand, nine hundred forty-four".