1048817473956 has 288 divisors, whose sum is σ = 3220867686400. Its totient is φ = 298297212192.

The previous prime is 1048817473937. The next prime is 1048817473973. The reversal of 1048817473956 is 6593747188401.

1048817473956 is a `hidden beast` number, since 1 + 0 + 488 + 1 + 74 + 7 + 39 + 56 = 666.

It is a super-2 number, since 2×1048817473956² (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 a junction number, because it is equal to n+sod(n) for n = 1048817473893 and 1048817473902.

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, 74340255 + ... + 74354361.

Almost surely, 2^{1048817473956} 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 1048817473956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1610433843200).

1048817473956 is an abundant number, since it is smaller than the sum of its proper divisors (2172050212444).

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

1048817473956 is a wasteful number, since it uses less digits than its factorization.

1048817473956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14370 (or 14342 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 1048817473956 in words is "one trillion, forty-eight billion, eight hundred seventeen million, four hundred seventy-three thousand, nine hundred fifty-six".