146171791640 has 256 divisors, whose sum is σ = 389223014400. Its totient is φ = 48371521536.

The previous prime is 146171791627. The next prime is 146171791663. The reversal of 146171791640 is 46197171641.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is a congruent number.

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, 543389426 + ... + 543389694.

It is an arithmetic number, because the mean of its divisors is an integer number (1520402400).

Almost surely, 2^146171791640 is an apocalyptic number.

146171791640 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 146171791640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194611507200).

146171791640 is an abundant number, since it is smaller than the sum of its proper divisors (243051222760).

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

146171791640 is a wasteful number, since it uses less digits than its factorization.

146171791640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 47.

The spelling of 146171791640 in words is "one hundred forty-six billion, one hundred seventy-one million, seven hundred ninety-one thousand, six hundred forty".