1131978456 has 256 divisors, whose sum is σ = 3890073600. Its totient is φ = 297603072.

The previous prime is 1131978443. The next prime is 1131978469. The reversal of 1131978456 is 6548791311.

1131978456 is a `hidden beast` number, since 1 + 1 + 3 + 197 + 8 + 456 = 666.

1131978456 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1131978443) and next prime (1131978469).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1207620 + ... + 1208556.

It is an arithmetic number, because the mean of its divisors is an integer number (15195600).

Almost surely, 2^1131978456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1131978456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1945036800).

1131978456 is an abundant number, since it is smaller than the sum of its proper divisors (2758095144).

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

1131978456 is a wasteful number, since it uses less digits than its factorization.

1131978456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1023 (or 1013 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 1131978456 is about 33644.8875165307. The cubic root of 1131978456 is about 1042.1879652020.

The spelling of 1131978456 in words is "one billion, one hundred thirty-one million, nine hundred seventy-eight thousand, four hundred fifty-six".