146770993474560 has 4752 divisors, whose sum is σ = 698312445798240. Its totient is φ = 29337221136384.

The previous prime is 146770993474499. The next prime is 146770993474591. The reversal of 146770993474560 is 65474399077641.

It is a happy number.

146770993474560 is a `hidden beast` number, since 1 + 4 + 6 + 7 + 7 + 0 + 9 + 93 + 474 + 5 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 7724789130231 + ... + 7724789130249.

Almost surely, 2^{146770993474560} is an apocalyptic number.

146770993474560 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 146770993474560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349156222899120).

146770993474560 is an abundant number, since it is smaller than the sum of its proper divisors (551541452323680).

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

146770993474560 is an frugal number, since it uses more digits than its factorization.

146770993474560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 960180480, while the sum is 72.

The spelling of 146770993474560 in words is "one hundred forty-six trillion, seven hundred seventy billion, nine hundred ninety-three million, four hundred seventy-four thousand, five hundred sixty".