1364902164648 has 384 divisors, whose sum is σ = 4386313451520. Its totient is φ = 393587631360.

The previous prime is 1364902164631. The next prime is 1364902164707. The reversal of 1364902164648 is 8464612094631.

1364902164648 is a `hidden beast` number, since 1 + 36 + 490 + 2 + 1 + 64 + 64 + 8 = 666.

It is a super-2 number, since 2×1364902164648² (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 junction number, because it is equal to n+sod(n) for n = 1364902164594 and 1364902164603.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 96883861 + ... + 96897947.

It is an arithmetic number, because the mean of its divisors is an integer number (11422691280).

Almost surely, 2^{1364902164648} is an apocalyptic number.

1364902164648 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 1364902164648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2193156725760).

1364902164648 is an abundant number, since it is smaller than the sum of its proper divisors (3021411286872).

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

1364902164648 is a wasteful number, since it uses less digits than its factorization.

1364902164648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14339 (or 14323 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 1364902164648 in words is "one trillion, three hundred sixty-four billion, nine hundred two million, one hundred sixty-four thousand, six hundred forty-eight".