146414123460 has 144 divisors (see below), whose sum is σ = 484634404800. Its totient is φ = 35484314880.

The previous prime is 146414123459. The next prime is 146414123567. The reversal of 146414123460 is 64321414641.

146414123460 is a `hidden beast` number, since 1 + 4 + 6 + 414 + 1 + 234 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8947366 + ... + 8963714.

It is an arithmetic number, because the mean of its divisors is an integer number (3365516700).

Almost surely, 2^146414123460 is an apocalyptic number.

146414123460 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 146414123460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242317202400).

146414123460 is an abundant number, since it is smaller than the sum of its proper divisors (338220281340).

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

146414123460 is a wasteful number, since it uses less digits than its factorization.

146414123460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20898 (or 20893 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 146414123460 in words is "one hundred forty-six billion, four hundred fourteen million, one hundred twenty-three thousand, four hundred sixty".