48111514214400 has 2016 divisors, whose sum is σ = 212950580082240. Its totient is φ = 10110621450240.

The previous prime is 48111514214363. The next prime is 48111514214411. The reversal of 48111514214400 is 441241511184.

48111514214400 is a `hidden beast` number, since 4 + 8 + 11 + 15 + 14 + 214 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 62563737216 + ... + 62563737984.

Almost surely, 2^{48111514214400} is an apocalyptic number.

48111514214400 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 48111514214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106475290041120).

48111514214400 is an abundant number, since it is smaller than the sum of its proper divisors (164839065867840).

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

48111514214400 is a wasteful number, since it uses less digits than its factorization.

48111514214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1204 (or 1172 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

Adding to 48111514214400 its reverse (441241511184), we get a palindrome (48552755725584).

The spelling of 48111514214400 in words is "forty-eight trillion, one hundred eleven billion, five hundred fourteen million, two hundred fourteen thousand, four hundred".