146452401480 has 384 divisors, whose sum is σ = 565422197760. Its totient is φ = 30002112000.

The previous prime is 146452401449. The next prime is 146452401497. The reversal of 146452401480 is 84104254641.

It is a Cunningham number, because it is equal to 382691²-1.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4576335 + ... + 4608225.

It is an arithmetic number, because the mean of its divisors is an integer number (1472453640).

Almost surely, 2^146452401480 is an apocalyptic number.

146452401480 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 146452401480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282711098880).

146452401480 is an abundant number, since it is smaller than the sum of its proper divisors (418969796280).

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

146452401480 is a wasteful number, since it uses less digits than its factorization.

146452401480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32001 (or 31990 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 39.

The spelling of 146452401480 in words is "one hundred forty-six billion, four hundred fifty-two million, four hundred one thousand, four hundred eighty".