48910417920000 has 3240 divisors, whose sum is σ = 225655827533136. Its totient is φ = 10319560704000.

The previous prime is 48910417919981. The next prime is 48910417920011. The reversal of 48910417920000 is 2971401984.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (3240).

It is a super-2 number, since 2×48910417920000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 3762339839994 + ... + 3762339840006.

Almost surely, 2^{48910417920000} is an apocalyptic number.

48910417920000 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 48910417920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112827913766568).

48910417920000 is an abundant number, since it is smaller than the sum of its proper divisors (176745409613136).

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

48910417920000 is an frugal number, since it uses more digits than its factorization.

48910417920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 48910417920000 in words is "forty-eight trillion, nine hundred ten billion, four hundred seventeen million, nine hundred twenty thousand".