1148756878080 has 1296 divisors, whose sum is σ = 5048356884480. Its totient is φ = 248690663424.

The previous prime is 1148756878063. The next prime is 1148756878133. The reversal of 1148756878080 is 808786578411.

1148756878080 is a `hidden beast` number, since 1 + 1 + 487 + 5 + 6 + 8 + 78 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a super-2 number, since 2×1148756878080² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 1148756877999 and 1148756878017.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 289576257 + ... + 289580223.

Almost surely, 2^{1148756878080} is an apocalyptic number.

1148756878080 is a gapful number since it is divisible by the number (10) 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 1148756878080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2524178442240).

1148756878080 is an abundant number, since it is smaller than the sum of its proper divisors (3899600006400).

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

1148756878080 is an equidigital number, since it uses as much as digits as its factorization.

1148756878080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4036 (or 4003 counting only the distinct ones).

The product of its (nonzero) digits is 24084480, while the sum is 63.

The spelling of 1148756878080 in words is "one trillion, one hundred forty-eight billion, seven hundred fifty-six million, eight hundred seventy-eight thousand, eighty".