1145147977512 has 1440 divisors, whose sum is σ = 4413502031400. Its totient is φ = 275393986560.

The previous prime is 1145147977507. The next prime is 1145147977513. The reversal of 1145147977512 is 2157797415411.

1145147977512 is a `hidden beast` number, since 1 + 1 + 4 + 51 + 4 + 7 + 9 + 77 + 512 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1136002115556 + 9145861956 = 1065834^2 + 95634^2 .

It is a super-2 number, since 2×1145147977512² (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1145147977513) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 5812933798 + ... + 5812933994.

Almost surely, 2^{1145147977512} is an apocalyptic number.

1145147977512 is a gapful number since it is divisible by the number (12) 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 1145147977512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2206751015700).

1145147977512 is an abundant number, since it is smaller than the sum of its proper divisors (3268354053888).

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

1145147977512 is a wasteful number, since it uses less digits than its factorization.

1145147977512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 326 counting only the distinct ones).

The product of its digits is 2469600, while the sum is 54.

The spelling of 1145147977512 in words is "one trillion, one hundred forty-five billion, one hundred forty-seven million, nine hundred seventy-seven thousand, five hundred twelve".