1047608290512 has 1280 divisors, whose sum is σ = 3916549324800. Its totient is φ = 261261158400.

The previous prime is 1047608290441. The next prime is 1047608290549. The reversal of 1047608290512 is 2150928067401.

1047608290512 is a `hidden beast` number, since 1 + 0 + 4 + 7 + 608 + 29 + 0 + 5 + 12 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 6273103453 + ... + 6273103619.

It is an arithmetic number, because the mean of its divisors is an integer number (3059804160).

Almost surely, 2^{1047608290512} is an apocalyptic number.

1047608290512 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 1047608290512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1958274662400).

1047608290512 is an abundant number, since it is smaller than the sum of its proper divisors (2868941034288).

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

1047608290512 is a wasteful number, since it uses less digits than its factorization.

1047608290512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 1047608290512 in words is "one trillion, forty-seven billion, six hundred eight million, two hundred ninety thousand, five hundred twelve".