48815148856320 has 2112 divisors, whose sum is σ = 223174748160000. Its totient is φ = 10142432133120.

The previous prime is 48815148856307. The next prime is 48815148856333. The reversal of 48815148856320 is 2365884151884.

48815148856320 is a `hidden beast` number, since 4 + 8 + 8 + 1 + 5 + 1 + 48 + 8 + 563 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (48815148856307) and next prime (48815148856333).

It is a tau number, because it is divible by the number of its divisors (2112).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4694210481 + ... + 4694220879.

Almost surely, 2^{48815148856320} is an apocalyptic number.

48815148856320 is a gapful number since it is divisible by the number (40) 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 48815148856320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111587374080000).

48815148856320 is an abundant number, since it is smaller than the sum of its proper divisors (174359599303680).

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

48815148856320 is a wasteful number, since it uses less digits than its factorization.

48815148856320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10471 (or 10427 counting only the distinct ones).

The product of its (nonzero) digits is 58982400, while the sum is 63.

The spelling of 48815148856320 in words is "forty-eight trillion, eight hundred fifteen billion, one hundred forty-eight million, eight hundred fifty-six thousand, three hundred twenty".