146850062768640 has 960 divisors, whose sum is σ = 634713751077120. Its totient is φ = 30483685048320.

The previous prime is 146850062768621. The next prime is 146850062768683. The reversal of 146850062768640 is 46867260058641.

It is a happy number.

146850062768640 is a `hidden beast` number, since 1 + 4 + 6 + 8 + 500 + 6 + 2 + 7 + 6 + 86 + 40 = 666.

146850062768640 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 (960).

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 95 ways as a sum of consecutive naturals, for example, 1790005702 + ... + 1790087738.

It is an arithmetic number, because the mean of its divisors is an integer number (661160157372).

Almost surely, 2^{146850062768640} is an apocalyptic number.

146850062768640 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 146850062768640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317356875538560).

146850062768640 is an abundant number, since it is smaller than the sum of its proper divisors (487863688308480).

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

146850062768640 is a wasteful number, since it uses less digits than its factorization.

146850062768640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83093 (or 83074 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 146850062768640 in words is "one hundred forty-six trillion, eight hundred fifty billion, sixty-two million, seven hundred sixty-eight thousand, six hundred forty".