1234287480096 has 432 divisors, whose sum is σ = 4090971339000. Its totient is φ = 351515197440.

The previous prime is 1234287480061. The next prime is 1234287480103. The reversal of 1234287480096 is 6900847824321.

1234287480096 is a `hidden beast` number, since 1 + 234 + 287 + 48 + 0 + 0 + 96 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1222714023696 + 11573456400 = 1105764^2 + 107580^2 .

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 633291730 + ... + 633293678.

Almost surely, 2^{1234287480096} is an apocalyptic number.

1234287480096 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 1234287480096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2045485669500).

1234287480096 is an abundant number, since it is smaller than the sum of its proper divisors (2856683858904).

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

1234287480096 is a wasteful number, since it uses less digits than its factorization.

1234287480096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3073 (or 3051 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 1234287480096 in words is "one trillion, two hundred thirty-four billion, two hundred eighty-seven million, four hundred eighty thousand, ninety-six".