1034486693856 has 576 divisors, whose sum is σ = 3764894515200. Its totient is φ = 267096130560.

The previous prime is 1034486693791. The next prime is 1034486693879. The reversal of 1034486693856 is 6583966844301.

1034486693856 is a `hidden beast` number, since 10 + 3 + 4 + 486 + 6 + 93 + 8 + 56 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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 = 1034486693793 and 1034486693802.

It is a congruent number.

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, 187983201 + ... + 187988703.

It is an arithmetic number, because the mean of its divisors is an integer number (6536275200).

Almost surely, 2^{1034486693856} is an apocalyptic number.

1034486693856 is a gapful number since it is divisible by the number (16) 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 1034486693856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1882447257600).

1034486693856 is an abundant number, since it is smaller than the sum of its proper divisors (2730407821344).

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

1034486693856 is a wasteful number, since it uses less digits than its factorization.

1034486693856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5724 (or 5699 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 63.

The spelling of 1034486693856 in words is "one trillion, thirty-four billion, four hundred eighty-six million, six hundred ninety-three thousand, eight hundred fifty-six".