146854501164 has 216 divisors, whose sum is σ = 458791809840. Its totient is φ = 39416170752.

The previous prime is 146854501147. The next prime is 146854501181. The reversal of 146854501164 is 461105458641.

146854501164 is a `hidden beast` number, since 1 + 4 + 6 + 85 + 4 + 501 + 1 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (146854501147) and next prime (146854501181).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1853979 + ... + 1931565.

Almost surely, 2^146854501164 is an apocalyptic number.

146854501164 is a gapful number since it is divisible by the number (14) 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 146854501164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229395904920).

146854501164 is an abundant number, since it is smaller than the sum of its proper divisors (311937308676).

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

146854501164 is a wasteful number, since it uses less digits than its factorization.

146854501164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77677 (or 77665 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 146854501164 in words is "one hundred forty-six billion, eight hundred fifty-four million, five hundred one thousand, one hundred sixty-four".