146625186048 has 288 divisors, whose sum is σ = 454360596480. Its totient is φ = 41483796480.

The previous prime is 146625186017. The next prime is 146625186049. The reversal of 146625186048 is 840681526641.

It is a super-3 number, since 3×146625186048³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (146625186049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18235213 + ... + 18243251.

It is an arithmetic number, because the mean of its divisors is an integer number (1577640960).

Almost surely, 2^146625186048 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 146625186048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227180298240).

146625186048 is an abundant number, since it is smaller than the sum of its proper divisors (307735410432).

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

146625186048 is a wasteful number, since it uses less digits than its factorization.

146625186048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8213 (or 8199 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 51.

The spelling of 146625186048 in words is "one hundred forty-six billion, six hundred twenty-five million, one hundred eighty-six thousand, forty-eight".