100463353536 has 448 divisors, whose sum is σ = 340952693760. Its totient is φ = 25400770560.

The previous prime is 100463353519. The next prime is 100463353547. The reversal of 100463353536 is 635353364001.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 100463353494 and 100463353503.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42263580 + ... + 42265956.

It is an arithmetic number, because the mean of its divisors is an integer number (761055120).

Almost surely, 2^100463353536 is an apocalyptic number.

100463353536 is a gapful number since it is divisible by the number (16) 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 100463353536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170476346880).

100463353536 is an abundant number, since it is smaller than the sum of its proper divisors (240489340224).

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

100463353536 is a wasteful number, since it uses less digits than its factorization.

100463353536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2512 (or 2502 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 39.

The spelling of 100463353536 in words is "one hundred billion, four hundred sixty-three million, three hundred fifty-three thousand, five hundred thirty-six".