1364948963532 has 288 divisors, whose sum is σ = 4484380852224. Its totient is φ = 352672315200.

The previous prime is 1364948963491. The next prime is 1364948963549. The reversal of 1364948963532 is 2353698494631.

1364948963532 is a `hidden beast` number, since 1 + 3 + 6 + 4 + 9 + 4 + 8 + 96 + 3 + 532 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 1364948963532.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14247463 + ... + 14342945.

It is an arithmetic number, because the mean of its divisors is an integer number (15570766848).

Almost surely, 2^{1364948963532} is an apocalyptic number.

1364948963532 is a gapful number since it is divisible by the number (12) 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 1364948963532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2242190426112).

1364948963532 is an abundant number, since it is smaller than the sum of its proper divisors (3119431888692).

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

1364948963532 is a wasteful number, since it uses less digits than its factorization.

1364948963532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95711 (or 95697 counting only the distinct ones).

The product of its digits is 100776960, while the sum is 63.

The spelling of 1364948963532 in words is "one trillion, three hundred sixty-four billion, nine hundred forty-eight million, nine hundred sixty-three thousand, five hundred thirty-two".