1146123600 has 60 divisors (see below), whose sum is σ = 3671419776. Its totient is φ = 305632640.

The previous prime is 1146123593. The next prime is 1146123607. The reversal of 1146123600 is 63216411.

It is an interprime number because it is at equal distance from previous prime (1146123593) and next prime (1146123607).

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1146123607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 476352 + ... + 478751.

Almost surely, 2^1146123600 is an apocalyptic number.

1146123600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1146123600 is an abundant number, since it is smaller than the sum of its proper divisors (2525296176).

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

1146123600 is a wasteful number, since it uses less digits than its factorization.

1146123600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 955124 (or 955113 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 1146123600 is about 33854.4472706320. The cubic root of 1146123600 is about 1046.5110501105.

The spelling of 1146123600 in words is "one billion, one hundred forty-six million, one hundred twenty-three thousand, six hundred".