146786487097536 has 1680 divisors, whose sum is σ = 526111679836512. Its totient is φ = 40186646691840.

The previous prime is 146786487097529. The next prime is 146786487097541. The reversal of 146786487097536 is 635790784687641.

146786487097536 is a `hidden beast` number, since 1 + 4 + 6 + 7 + 8 + 6 + 4 + 8 + 70 + 9 + 7 + 536 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 94518020536 + ... + 94518022088.

Almost surely, 2^{146786487097536} is an apocalyptic number.

146786487097536 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 146786487097536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263055839918256).

146786487097536 is an abundant number, since it is smaller than the sum of its proper divisors (379325192738976).

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

146786487097536 is a wasteful number, since it uses less digits than its factorization.

146786487097536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1852 (or 1822 counting only the distinct ones).

The product of its (nonzero) digits is 10241925120, while the sum is 81.

The spelling of 146786487097536 in words is "one hundred forty-six trillion, seven hundred eighty-six billion, four hundred eighty-seven million, ninety-seven thousand, five hundred thirty-six".