146397424148640 has 768 divisors, whose sum is σ = 588056460364800. Its totient is φ = 33321436839936.

The previous prime is 146397424148627. The next prime is 146397424148683. The reversal of 146397424148640 is 46841424793641.

146397424148640 is a `hidden beast` number, since 1 + 4 + 6 + 3 + 9 + 7 + 424 + 148 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 25518111852 + ... + 25518117588.

It is an arithmetic number, because the mean of its divisors is an integer number (765698516100).

Almost surely, 2^{146397424148640} is an apocalyptic number.

146397424148640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146397424148640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294028230182400).

146397424148640 is an abundant number, since it is smaller than the sum of its proper divisors (441659036216160).

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

146397424148640 is a wasteful number, since it uses less digits than its factorization.

146397424148640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9174 (or 9160 counting only the distinct ones).

The product of its (nonzero) digits is 111476736, while the sum is 63.

The spelling of 146397424148640 in words is "one hundred forty-six trillion, three hundred ninety-seven billion, four hundred twenty-four million, one hundred forty-eight thousand, six hundred forty".