48802151946240 has 3840 divisors, whose sum is σ = 232068611174400. Its totient is φ = 9502595481600.

The previous prime is 48802151946211. The next prime is 48802151946241. The reversal of 48802151946240 is 4264915120884.

48802151946240 is a `hidden beast` number, since 4 + 8 + 8 + 0 + 2 + 1 + 5 + 1 + 9 + 4 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48802151946241) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 158964664167 + ... + 158964664473.

It is an arithmetic number, because the mean of its divisors is an integer number (60434534160).

Almost surely, 2^{48802151946240} is an apocalyptic number.

48802151946240 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 48802151946240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116034305587200).

48802151946240 is an abundant number, since it is smaller than the sum of its proper divisors (183266459228160).

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

48802151946240 is a wasteful number, since it uses less digits than its factorization.

48802151946240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 48802151946240 in words is "forty-eight trillion, eight hundred two billion, one hundred fifty-one million, nine hundred forty-six thousand, two hundred forty".