463527500172000 has 768 divisors, whose sum is σ = 1697908854620160. Its totient is φ = 109595678976000.

The previous prime is 463527500171917. The next prime is 463527500172083. The reversal of 463527500172000 is 271005725364.

It is an interprime number because it is at equal distance from previous prime (463527500171917) and next prime (463527500172083).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 988841677 + ... + 989310323.

It is an arithmetic number, because the mean of its divisors is an integer number (2210818821120).

Almost surely, 2^{463527500172000} is an apocalyptic number.

463527500172000 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 463527500172000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (848954427310080).

463527500172000 is an abundant number, since it is smaller than the sum of its proper divisors (1234381354448160).

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

463527500172000 is a wasteful number, since it uses less digits than its factorization.

463527500172000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468872 (or 468854 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 42.

Adding to 463527500172000 its reverse (271005725364), we get a palindrome (463798505897364).

The spelling of 463527500172000 in words is "four hundred sixty-three trillion, five hundred twenty-seven billion, five hundred million, one hundred seventy-two thousand".