1648139690520 has 512 divisors, whose sum is σ = 5984429817600. Its totient is φ = 401780736000.

The previous prime is 1648139690501. The next prime is 1648139690531. The reversal of 1648139690520 is 250969318461.

1648139690520 is a `hidden beast` number, since 1 + 6 + 4 + 81 + 39 + 6 + 9 + 0 + 520 = 666.

It is a super-2 number, since 2×1648139690520² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 476201590 + ... + 476205050.

Almost surely, 2^{1648139690520} is an apocalyptic number.

1648139690520 is a gapful number since it is divisible by the number (10) 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 1648139690520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2992214908800).

1648139690520 is an abundant number, since it is smaller than the sum of its proper divisors (4336290127080).

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

1648139690520 is a wasteful number, since it uses less digits than its factorization.

1648139690520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4236 (or 4226 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 1648139690520 in words is "one trillion, six hundred forty-eight billion, one hundred thirty-nine million, six hundred ninety thousand, five hundred twenty".