148229405913600 has 1680 divisors, whose sum is σ = 602528539482144. Its totient is φ = 35823845376000.

The previous prime is 148229405913553. The next prime is 148229405913601. The reversal of 148229405913600 is 6319504922841.

It is a happy number.

148229405913600 is a `hidden beast` number, since 1 + 4 + 8 + 2 + 2 + 9 + 40 + 591 + 3 + 6 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (148229405913601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 36233047555 + ... + 36233051645.

Almost surely, 2^{148229405913600} is an apocalyptic number.

148229405913600 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 148229405913600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301264269741072).

148229405913600 is an abundant number, since it is smaller than the sum of its proper divisors (454299133568544).

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

148229405913600 is an equidigital number, since it uses as much as digits as its factorization.

148229405913600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4501 (or 4465 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 148229405913600 in words is "one hundred forty-eight trillion, two hundred twenty-nine billion, four hundred five million, nine hundred thirteen thousand, six hundred".