9133146107904 has 1664 divisors, whose sum is σ = 33349033984000. Its totient is φ = 2200550768640.

The previous prime is 9133146107903. The next prime is 9133146107909. The reversal of 9133146107904 is 4097016413319.

It is a tau number, because it is divible by the number of its divisors (1664).

It is a super-2 number, since 2×9133146107904² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9133146107903) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 32272600947 + ... + 32272601229.

Almost surely, 2^{9133146107904} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9133146107904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16674516992000).

9133146107904 is an abundant number, since it is smaller than the sum of its proper divisors (24215887876096).

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

9133146107904 is a wasteful number, since it uses less digits than its factorization.

9133146107904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 48.

The spelling of 9133146107904 in words is "nine trillion, one hundred thirty-three billion, one hundred forty-six million, one hundred seven thousand, nine hundred four".