1631656006464 has 168 divisors, whose sum is σ = 4747153120864. Its totient is φ = 494240947200.

The previous prime is 1631656006457. The next prime is 1631656006507. The reversal of 1631656006464 is 4646006561361.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63433734 + ... + 63459450.

Almost surely, 2^{1631656006464} 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 1631656006464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2373576560432).

1631656006464 is an abundant number, since it is smaller than the sum of its proper divisors (3115497114400).

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

1631656006464 is a wasteful number, since it uses less digits than its factorization.

1631656006464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28485 (or 28464 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 48.

The spelling of 1631656006464 in words is "one trillion, six hundred thirty-one billion, six hundred fifty-six million, six thousand, four hundred sixty-four".