4953514604544 has 1152 divisors, whose sum is σ = 17901552614400. Its totient is φ = 1337402327040.

The previous prime is 4953514604491. The next prime is 4953514604569. The reversal of 4953514604544 is 4454064153594.

4953514604544 is a `hidden beast` number, since 4 + 9 + 5 + 3 + 51 + 46 + 0 + 4 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3732866409 + ... + 3732867735.

It is an arithmetic number, because the mean of its divisors is an integer number (15539542200).

Almost surely, 2^{4953514604544} is an apocalyptic number.

4953514604544 is a gapful number since it is divisible by the number (44) 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 4953514604544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8950776307200).

4953514604544 is an abundant number, since it is smaller than the sum of its proper divisors (12948038009856).

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

4953514604544 is a wasteful number, since it uses less digits than its factorization.

4953514604544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1424 (or 1379 counting only the distinct ones).

The product of its (nonzero) digits is 20736000, while the sum is 54.

The spelling of 4953514604544 in words is "four trillion, nine hundred fifty-three billion, five hundred fourteen million, six hundred four thousand, five hundred forty-four".