1148159779200 has 1152 divisors, whose sum is σ = 4914883284480. Its totient is φ = 249530941440.

The previous prime is 1148159779187. The next prime is 1148159779213. The reversal of 1148159779200 is 29779518411.

1148159779200 is a `hidden beast` number, since 1 + 1 + 48 + 1 + 597 + 7 + 9 + 2 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1148159779187) and next prime (1148159779213).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

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, 894901759 + ... + 894903041.

It is an arithmetic number, because the mean of its divisors is an integer number (4266391740).

Almost surely, 2^{1148159779200} is an apocalyptic number.

1148159779200 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 1148159779200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2457441642240).

1148159779200 is an abundant number, since it is smaller than the sum of its proper divisors (3766723505280).

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

1148159779200 is a wasteful number, since it uses less digits than its factorization.

1148159779200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1536 (or 1516 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 54.

The spelling of 1148159779200 in words is "one trillion, one hundred forty-eight billion, one hundred fifty-nine million, seven hundred seventy-nine thousand, two hundred".