147628601600 has 216 divisors, whose sum is σ = 394030301280. Its totient is φ = 54577152000.

The previous prime is 147628601597. The next prime is 147628601639. The reversal of 147628601600 is 6106826741.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4970795 + ... + 5000405.

Almost surely, 2^147628601600 is an apocalyptic number.

147628601600 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 147628601600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197015150640).

147628601600 is an abundant number, since it is smaller than the sum of its proper divisors (246401699680).

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

147628601600 is a wasteful number, since it uses less digits than its factorization.

147628601600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29697 (or 29678 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 41.

The spelling of 147628601600 in words is "one hundred forty-seven billion, six hundred twenty-eight million, six hundred one thousand, six hundred".