48463893458040 has 256 divisors, whose sum is σ = 151926022379520. Its totient is φ = 12358857830400.

The previous prime is 48463893458017. The next prime is 48463893458047. The reversal of 48463893458040 is 4085439836484.

It is a super-2 number, since 2×48463893458040² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48463893458047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43503990 + ... + 44604090.

It is an arithmetic number, because the mean of its divisors is an integer number (593461024920).

Almost surely, 2^{48463893458040} is an apocalyptic number.

48463893458040 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 48463893458040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75963011189760).

48463893458040 is an abundant number, since it is smaller than the sum of its proper divisors (103462128921480).

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

48463893458040 is a wasteful number, since it uses less digits than its factorization.

48463893458040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1100342 (or 1100338 counting only the distinct ones).

The product of its (nonzero) digits is 318504960, while the sum is 66.

The spelling of 48463893458040 in words is "forty-eight trillion, four hundred sixty-three billion, eight hundred ninety-three million, four hundred fifty-eight thousand, forty".