146623478400 has 1536 divisors, whose sum is σ = 644683737600. Its totient is φ = 32248627200.

The previous prime is 146623478387. The next prime is 146623478461. The reversal of 146623478400 is 4874326641.

146623478400 is a `hidden beast` number, since 1 + 4 + 6 + 6 + 234 + 7 + 8 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2008540764 + ... + 2008540836.

It is an arithmetic number, because the mean of its divisors is an integer number (419715975).

Almost surely, 2^146623478400 is an apocalyptic number.

146623478400 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 146623478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322341868800).

146623478400 is an abundant number, since it is smaller than the sum of its proper divisors (498060259200).

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

146623478400 is an frugal number, since it uses more digits than its factorization.

146623478400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 146623478400 in words is "one hundred forty-six billion, six hundred twenty-three million, four hundred seventy-eight thousand, four hundred".