146625375889632 has 48 divisors (see below), whose sum is σ = 387922254354432. Its totient is φ = 48490281786240.

The previous prime is 146625375889631. The next prime is 146625375889649. The reversal of 146625375889632 is 236988573526641.

146625375889632 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146625375889631) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6013167594 + ... + 6013191977.

It is an arithmetic number, because the mean of its divisors is an integer number (8081713632384).

Almost surely, 2^{146625375889632} is an apocalyptic number.

146625375889632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

146625375889632 is an abundant number, since it is smaller than the sum of its proper divisors (241296878464800).

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

146625375889632 is a wasteful number, since it uses less digits than its factorization.

146625375889632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12026359711 (or 12026359703 counting only the distinct ones).

The product of its digits is 3135283200, while the sum is 75.

The spelling of 146625375889632 in words is "one hundred forty-six trillion, six hundred twenty-five billion, three hundred seventy-five million, eight hundred eighty-nine thousand, six hundred thirty-two".