2148482767536 has 240 divisors, whose sum is σ = 6987064251648. Its totient is φ = 603557568000.

The previous prime is 2148482767481. The next prime is 2148482767553. The reversal of 2148482767536 is 6357672848412.

2148482767536 is a `hidden beast` number, since 2 + 1 + 48 + 482 + 7 + 67 + 53 + 6 = 666.

It is a super-2 number, since 2×2148482767536² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 218093011 + ... + 218102861.

Almost surely, 2^{2148482767536} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2148482767536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3493532125824).

2148482767536 is an abundant number, since it is smaller than the sum of its proper divisors (4838581484112).

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

2148482767536 is a wasteful number, since it uses less digits than its factorization.

2148482767536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13480 (or 13471 counting only the distinct ones).

The product of its digits is 108380160, while the sum is 63.

The spelling of 2148482767536 in words is "two trillion, one hundred forty-eight billion, four hundred eighty-two million, seven hundred sixty-seven thousand, five hundred thirty-six".