148812476006400 has 720 divisors, whose sum is σ = 521576298230400. Its totient is φ = 37307914649600.

The previous prime is 148812476006393. The next prime is 148812476006401. The reversal of 148812476006400 is 4600674218841.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148812476006401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21913187005 + ... + 21913193795.

It is an arithmetic number, because the mean of its divisors is an integer number (724411525320).

Almost surely, 2^{148812476006400} is an apocalyptic number.

148812476006400 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 148812476006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260788149115200).

148812476006400 is an abundant number, since it is smaller than the sum of its proper divisors (372763822224000).

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

148812476006400 is a wasteful number, since it uses less digits than its factorization.

148812476006400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7898 (or 7867 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 51.

The spelling of 148812476006400 in words is "one hundred forty-eight trillion, eight hundred twelve billion, four hundred seventy-six million, six thousand, four hundred".