1490671264896 has 256 divisors, whose sum is σ = 4801323600000. Its totient is φ = 451547873280.

The previous prime is 1490671264879. The next prime is 1490671264931. The reversal of 1490671264896 is 6984621760941.

1490671264896 is a `hidden beast` number, since 1 + 4 + 90 + 67 + 1 + 2 + 6 + 489 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131111500 + ... + 131122868.

Almost surely, 2^{1490671264896} is an apocalyptic number.

1490671264896 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 1490671264896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2400661800000).

1490671264896 is an abundant number, since it is smaller than the sum of its proper divisors (3310652335104).

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

1490671264896 is a wasteful number, since it uses less digits than its factorization.

1490671264896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14852 (or 14834 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 1490671264896 in words is "one trillion, four hundred ninety billion, six hundred seventy-one million, two hundred sixty-four thousand, eight hundred ninety-six".