49456814484000 has 2304 divisors, whose sum is σ = 221654768025600. Its totient is φ = 9399075840000.

The previous prime is 49456814483983. The next prime is 49456814484013. The reversal of 49456814484000 is 48441865494.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 5600359585 + ... + 5600368415.

It is an arithmetic number, because the mean of its divisors is an integer number (96204326400).

Almost surely, 2^{49456814484000} is an apocalyptic number.

49456814484000 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 49456814484000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110827384012800).

49456814484000 is an abundant number, since it is smaller than the sum of its proper divisors (172197953541600).

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

49456814484000 is a wasteful number, since it uses less digits than its factorization.

49456814484000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8936 (or 8907 counting only the distinct ones).

The product of its (nonzero) digits is 17694720, while the sum is 57.

The spelling of 49456814484000 in words is "forty-nine trillion, four hundred fifty-six billion, eight hundred fourteen million, four hundred eighty-four thousand".