148016001600 has 252 divisors, whose sum is σ = 526930095744. Its totient is φ = 39407447040.

The previous prime is 148016001589. The next prime is 148016001647. The reversal of 148016001600 is 6100610841.

148016001600 is a `hidden beast` number, since 1 + 48 + 0 + 1 + 600 + 16 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9308857 + ... + 9324743.

Almost surely, 2^148016001600 is an apocalyptic number.

148016001600 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 148016001600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263465047872).

148016001600 is an abundant number, since it is smaller than the sum of its proper divisors (378914094144).

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

148016001600 is a wasteful number, since it uses less digits than its factorization.

148016001600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16562 (or 16544 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 148016001600 in words is "one hundred forty-eight billion, sixteen million, one thousand, six hundred".