1648000933392 has 320 divisors, whose sum is σ = 5147752808448. Its totient is φ = 448444416000.

The previous prime is 1648000933387. The next prime is 1648000933393. The reversal of 1648000933392 is 2933390008461.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (1648000933393) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19714468 + ... + 19797884.

Almost surely, 2^{1648000933392} is an apocalyptic number.

1648000933392 is a gapful number since it is divisible by the number (12) 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 1648000933392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2573876404224).

1648000933392 is an abundant number, since it is smaller than the sum of its proper divisors (3499751875056).

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

1648000933392 is a wasteful number, since it uses less digits than its factorization.

1648000933392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83558 (or 83552 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 48.

The spelling of 1648000933392 in words is "one trillion, six hundred forty-eight billion, nine hundred thirty-three thousand, three hundred ninety-two".