1070334248832 has 320 divisors, whose sum is σ = 3209043420000. Its totient is φ = 354130071552.

The previous prime is 1070334248821. The next prime is 1070334248857. The reversal of 1070334248832 is 2388424330701.

1070334248832 is a `hidden beast` number, since 1 + 0 + 70 + 33 + 42 + 488 + 32 = 666.

It is a super-2 number, since 2×1070334248832² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1001247594 + ... + 1001248662.

Almost surely, 2^{1070334248832} is an apocalyptic number.

1070334248832 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 1070334248832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1604521710000).

1070334248832 is an abundant number, since it is smaller than the sum of its proper divisors (2138709171168).

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

1070334248832 is a wasteful number, since it uses less digits than its factorization.

1070334248832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1723 (or 1702 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 1070334248832 in words is "one trillion, seventy billion, three hundred thirty-four million, two hundred forty-eight thousand, eight hundred thirty-two".