146764886401536 has 640 divisors, whose sum is σ = 450127819975680. Its totient is φ = 42119324172288.

The previous prime is 146764886401459. The next prime is 146764886401547. The reversal of 146764886401536 is 635104688467641.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9226426095 + ... + 9226442001.

It is an arithmetic number, because the mean of its divisors is an integer number (703324718712).

Almost surely, 2^{146764886401536} is an apocalyptic number.

146764886401536 is a gapful number since it is divisible by the number (16) 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 146764886401536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225063909987840).

146764886401536 is an abundant number, since it is smaller than the sum of its proper divisors (303362933574144).

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

146764886401536 is a wasteful number, since it uses less digits than its factorization.

146764886401536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16336 (or 16320 counting only the distinct ones).

The product of its (nonzero) digits is 557383680, while the sum is 69.

The spelling of 146764886401536 in words is "one hundred forty-six trillion, seven hundred sixty-four billion, eight hundred eighty-six million, four hundred one thousand, five hundred thirty-six".