48433148361312 has 768 divisors, whose sum is σ = 166697085542400. Its totient is φ = 12063494799360.

The previous prime is 48433148361263. The next prime is 48433148361317. The reversal of 48433148361312 is 21316384133484.

It is a super-2 number, since 2×48433148361312² (a number of 28 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48433148361317) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3489664389 + ... + 3489678267.

It is an arithmetic number, because the mean of its divisors is an integer number (217053496800).

Almost surely, 2^{48433148361312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48433148361312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83348542771200).

48433148361312 is an abundant number, since it is smaller than the sum of its proper divisors (118263937181088).

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

48433148361312 is a wasteful number, since it uses less digits than its factorization.

48433148361312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14739 (or 14731 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 51.

The spelling of 48433148361312 in words is "forty-eight trillion, four hundred thirty-three billion, one hundred forty-eight million, three hundred sixty-one thousand, three hundred twelve".