1483972648704 has 1944 divisors, whose sum is σ = 5939156081040. Its totient is φ = 365699432448.

The previous prime is 1483972648681. The next prime is 1483972648709. The reversal of 1483972648704 is 4078462793841.

1483972648704 is a `hidden beast` number, since 1 + 4 + 83 + 9 + 72 + 6 + 487 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1944).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1483972648709) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 20328392412 + ... + 20328392484.

Almost surely, 2^{1483972648704} is an apocalyptic number.

1483972648704 is a gapful number since it is divisible by the number (14) 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 1483972648704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2969578040520).

1483972648704 is an abundant number, since it is smaller than the sum of its proper divisors (4455183432336).

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

1483972648704 is an frugal number, since it uses more digits than its factorization.

1483972648704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 1483972648704 in words is "one trillion, four hundred eighty-three billion, nine hundred seventy-two million, six hundred forty-eight thousand, seven hundred four".