4956481152000 has 1408 divisors, whose sum is σ = 21056905359360. Its totient is φ = 1126379520000.

The previous prime is 4956481151981. The next prime is 4956481152031. The reversal of 4956481152000 is 2511846594.

4956481152000 is a `hidden beast` number, since 4 + 9 + 564 + 81 + 1 + 5 + 2 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5104511515 + ... + 5104512485.

Almost surely, 2^{4956481152000} is an apocalyptic number.

4956481152000 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 4956481152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10528452679680).

4956481152000 is an abundant number, since it is smaller than the sum of its proper divisors (16100424207360).

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

4956481152000 is a wasteful number, since it uses less digits than its factorization.

4956481152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1233 (or 1199 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

Adding to 4956481152000 its reverse (2511846594), we get a palindrome (4958992998594).

The spelling of 4956481152000 in words is "four trillion, nine hundred fifty-six billion, four hundred eighty-one million, one hundred fifty-two thousand".