53918906470464 has 224 divisors, whose sum is σ = 175124067328000. Its totient is φ = 14594590886400.

The previous prime is 53918906470459. The next prime is 53918906470469. The reversal of 53918906470464 is 46407460981935.

It is an interprime number because it is at equal distance from previous prime (53918906470459) and next prime (53918906470469).

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×53918906470464² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 53918906470395 and 53918906470404.

It is not an unprimeable number, because it can be changed into a prime (53918906470469) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20294512 + ... + 22797039.

It is an arithmetic number, because the mean of its divisors is an integer number (781803872000).

Almost surely, 2^{53918906470464} is an apocalyptic number.

It is an amenable number.

53918906470464 is an abundant number, since it is smaller than the sum of its proper divisors (121205160857536).

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

53918906470464 is a wasteful number, since it uses less digits than its factorization.

53918906470464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43091606 (or 43091582 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 66.

The spelling of 53918906470464 in words is "fifty-three trillion, nine hundred eighteen billion, nine hundred six million, four hundred seventy thousand, four hundred sixty-four".