1153509690456 has 80 divisors (see below), whose sum is σ = 3249571208400. Its totient is φ = 382280630976.

The previous prime is 1153509690439. The next prime is 1153509690491. The reversal of 1153509690456 is 6540969053511.

1153509690456 is a `hidden beast` number, since 1 + 1 + 5 + 3 + 509 + 6 + 90 + 45 + 6 = 666.

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 a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5032716 + ... + 5256923.

It is an arithmetic number, because the mean of its divisors is an integer number (40619640105).

Almost surely, 2^{1153509690456} is an apocalyptic number.

It is an amenable number.

1153509690456 is an abundant number, since it is smaller than the sum of its proper divisors (2096061517944).

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

1153509690456 is a wasteful number, since it uses less digits than its factorization.

1153509690456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10289830 (or 10289817 counting only the distinct ones).

The product of its (nonzero) digits is 4374000, while the sum is 54.

It can be divided in two parts, 115350 and 9690456, that added together give a triangular number (9805806 = T₄₄₂₈).

The spelling of 1153509690456 in words is "one trillion, one hundred fifty-three billion, five hundred nine million, six hundred ninety thousand, four hundred fifty-six".