1463948472000 has 896 divisors, whose sum is σ = 5874749337600. Its totient is φ = 313575014400.

The previous prime is 1463948471981. The next prime is 1463948472031. The reversal of 1463948472000 is 2748493641.

It is a super-2 number, since 2×1463948472000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 751127026 + ... + 751128974.

Almost surely, 2^{1463948472000} is an apocalyptic number.

1463948472000 is a gapful number since it is divisible by the number (10) 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 1463948472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2937374668800).

1463948472000 is an abundant number, since it is smaller than the sum of its proper divisors (4410800865600).

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

1463948472000 is a wasteful number, since it uses less digits than its factorization.

1463948472000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2266 (or 2246 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 1463948472000 in words is "one trillion, four hundred sixty-three billion, nine hundred forty-eight million, four hundred seventy-two thousand".