1151892181125 has 320 divisors, whose sum is σ = 2499692203008. Its totient is φ = 516923596800.

The previous prime is 1151892181103. The next prime is 1151892181147. The reversal of 1151892181125 is 5211812981511.

1151892181125 is a `hidden beast` number, since 1 + 1 + 518 + 9 + 2 + 1 + 8 + 1 + 125 = 666.

It is an interprime number because it is at equal distance from previous prime (1151892181103) and next prime (1151892181147).

It is not a de Polignac number, because 1151892181125 - 2⁵ = 1151892181093 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 941857264 + ... + 941858486.

Almost surely, 2^{1151892181125} is an apocalyptic number.

1151892181125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1151892181125 is an abundant number, since it is smaller than the sum of its proper divisors (1347800021883).

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

1151892181125 is a wasteful number, since it uses less digits than its factorization.

1151892181125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1491 (or 1472 counting only the distinct ones).

The product of its digits is 57600, while the sum is 45.

The spelling of 1151892181125 in words is "one trillion, one hundred fifty-one billion, eight hundred ninety-two million, one hundred eighty-one thousand, one hundred twenty-five".