1631626497648 has 720 divisors, whose sum is σ = 5642168628096. Its totient is φ = 454968783360.

The previous prime is 1631626497617. The next prime is 1631626497719. The reversal of 1631626497648 is 8467946261361.

1631626497648 is a `hidden beast` number, since 1 + 63 + 1 + 6 + 26 + 497 + 64 + 8 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 2857489203 + ... + 2857489773.

Almost surely, 2^{1631626497648} is an apocalyptic number.

1631626497648 is a gapful number since it is divisible by the number (18) 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 1631626497648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2821084314048).

1631626497648 is an abundant number, since it is smaller than the sum of its proper divisors (4010542130448).

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

1631626497648 is a wasteful number, since it uses less digits than its factorization.

1631626497648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 944 (or 919 counting only the distinct ones).

The product of its digits is 62705664, while the sum is 63.

The spelling of 1631626497648 in words is "one trillion, six hundred thirty-one billion, six hundred twenty-six million, four hundred ninety-seven thousand, six hundred forty-eight".